sequences

A sequence is an ordered collection of elements, each assigned to a specific position indexed by a natural number.

A sequence \( a_n \) is called an arithmetic sequence(or arithmetic progression) if it consists of numbers arranged in such a way that the difference between any term and the one before it is constant.

A sequence \( a_n \) is called a geometric sequence if it consists of numbers arranged in such a way that the ratio between any term and the one before it is constant.

A sequence of functions is a list of functions indexed by natural numbers, studied for their behavior as the index grows, including pointwise and uniform convergence.